{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "4432f5fb-5729-43aa-bb4b-07b4b01f7ec9",
   "metadata": {},
   "source": [
    "Chapter 14\n",
    "# 二分图，随机生成\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "0c44a99d-3626-4e33-a7f1-27429ad01bcc",
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "from networkx.algorithms import bipartite"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "924f2fc7-e6db-4a9f-815b-aea0fcf9eb00",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "G = nx.bipartite.gnmk_random_graph(6, 8, 16, \n",
    "                                   seed=88)\n",
    "\n",
    "# 判断是否是二分图\n",
    "bipartite.is_bipartite(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "010d7624-f500-4c6f-8c0d-5414e8739c01",
   "metadata": {},
   "outputs": [],
   "source": [
    "left = nx.bipartite.sets(G)[0]\n",
    "pos = nx.bipartite_layout(G, left)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "0e46ebab-c9fc-4545-8138-fb4daec1f48f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{0, 1, 2, 3, 4, 5}"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "left"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b2639636-da57-4cdc-8464-6920657df96e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化\n",
    "nx.draw_networkx(G, pos = pos, width = 2)\n",
    "plt.savefig('二分图，随机.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7a0a0f1a-1461-4c0f-a1ae-85b9a1e6d6dd",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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